6375054672 has 320 divisors, whose sum is σ = 22273574400. Its totient is φ = 1704222720.

The previous prime is 6375054643. The next prime is 6375054683. The reversal of 6375054672 is 2764505736.

6375054672 is a `hidden beast` number, since 6 + 37 + 5 + 0 + 546 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13828522 + ... + 13828982.

It is an arithmetic number, because the mean of its divisors is an integer number (69604920).

Almost surely, 2^6375054672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6375054672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11136787200).

6375054672 is an abundant number, since it is smaller than the sum of its proper divisors (15898519728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6375054672 is a wasteful number, since it uses less digits than its factorization.

6375054672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The square root of 6375054672 is about 79843.9394819669. The cubic root of 6375054672 is about 1854.2201852002.

The spelling of 6375054672 in words is "six billion, three hundred seventy-five million, fifty-four thousand, six hundred seventy-two".